Finding the Fourth Proportional to 31,784.15, 47,678.51 and 8,410.31

Step by Step Solution

1. Step 1: Write the proportion equation
   31,784.15 : 47,678.51 = 8,410.31 : x
2. Step 2: Convert to fraction form
   31,784.15/47,678.51 = 8,410.31/x
3. Step 3: Cross multiply
   31,784.15x = 47,678.51 × 8,410.31
4. Step 4: Simplify right side
   31,784.15x = 400,991,158.12
5. Step 5: Solve for x
   x = 400,991,158.12/31,784.15
6. Step 6: Final answer
   x = 12,616.07